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Finding the Third Proportional to 367,173 and 517,073.63

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Solution

The third proportional to 367,173 and 517,073.63 is: 728,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,173 : 517,073.63 = 517,073.63 : x
  2. Step 2: Convert to fraction form
    367,173/517,073.63 = 517,073.63/x
  3. Step 3: Cross multiply
    367,173x = 517,073.63 × 517,073.63
  4. Step 4: Simplify right side
    367,173x = 267,365,133,670.64
  5. Step 5: Solve for x
    x = 267,365,133,670.64/367,173
  6. Step 6: Final answer
    x = 728,172.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.